New Stability Conditions for Linear Differential Equations with Several Delays

Abstract

New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation $$\dot{x}(t)+\sum _{k=1}^m{a}_k(t)x(h_k(t))=0$$ with measurable delays and coefficients. These results are compared to known stability tests.

19 pages